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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 147294ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.s1 | 147294ch1 | \([1, -1, 0, -1269, -24683]\) | \(-6329617441/3895776\) | \(-139161014496\) | \([]\) | \(161280\) | \(0.84013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294ch do not have complex multiplication.Modular form 147294.2.a.ch
sage: E.q_eigenform(10)